Some Remarks on a Two-Parameter Quantum Algebra SU<SUB>qs</SUB>(2) and a Two-Parameter Deformed Harmonic Oscillator

Zhou Huanqiang; He Jingsong; Guan Xiwen

Chinese Physics C> 1995, Vol. 19> Issue(5) : 420-423

Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator

Department of Physics, Sichuan Normal University, Chengdu, 610066

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Abstract：
The Holstein-Primakoff realization and the Nodvik realization for a two-parameter deformed quantum algebra SU_qs(2) are constructed, and the deformed maps of a quantum algebra SU_qs(2) and a two-parameter deformed harmonic oscillator are given.

References

[1]

L.D.Faddeev,SovSci.Rev.Maths.C1（198）107.[2]V.G.Drinfeld,Proc.I.C.M.Berkeley（1986）798.M.Jimbo,Comm.Math.Phys,102（1986）537.[3]P.P.Kulish,N.Yu.Reshetikhin,J.SovMath,23（1981）2535.[4]L.C.Biedenharn,J.Phys、，A22（1989）L873.[5]A.J.Macfarlane,J.Phys,A22（1989）4581.[6]H.Yan,J.Phys.,A23（1990）L1155.[7]Y.J.Ng,J.Phys,A23（1990）1023.[8]J.Katriel,A.I.Solomon,J.Phys,A24（1991）2093.[9]J.Nodvik,Ann.Phys,51（1969）25.[10]E.E.Demidovetal,Prog.Theor.Phys.Supp.102（1990）203.[11]A.Sudbery.J.Phys,A23（1990）L697.[12]A.Schirrmacher,J.Wess,B.Zumino,J.Phys,C49（1991）317.[13]C.Eurdik,L.Hlavaty,J.Phys.,A24（1991）L165.[14]R.Chakrabarti,R.Jagannatban,J.Phys,A24（1991）L711.[15]S.Jing,Mod.Phys.Lett,A8（1993）543.[16]周焕强、管习文、贺劲松，私人通信。[17]T.L.Curtright,C.K.Zachos,Phys.Lett,B243（1990）237.[18]X.C.Song,J.Phys,A23（1990）L821.[19]C.Quesne,Phy.sLett,A153（1991）303.[20]于祖荣，高能物理与核物理，16（1992）461.[21]B.B.Mallick,A.Kundu,Mod.Phys.Lett.,A6（199）701.

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Zhou Huanqiang, He Jingsong and Guan Xiwen. Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 1995, 19(5): 420-423.

Zhou Huanqiang, He Jingsong and Guan Xiwen. Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator[J]. Chinese Physics C, 1995, 19(5): 420-423. shu

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沈阳化工大学材料科学与工程学院沈阳 110142

Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator

Corresponding author: Zhou Huanqiang,

Department of Physics, Sichuan Normal University, Chengdu, 610066

Received Date: 1900-01-01
Accepted Date: 1900-01-01
Available Online: 1995-05-05

Abstract: The Holstein-Primakoff realization and the Nodvik realization for a two-parameter deformed quantum algebra SU_qs(2) are constructed, and the deformed maps of a quantum algebra SU_qs(2) and a two-parameter deformed harmonic oscillator are given.

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Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator

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Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator

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Some Remarks on a Two-Parameter Quantum Algebra SUqs(2) and a Two-Parameter Deformed Harmonic Oscillator

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通讯作者: 陈斌, bchen63@163.com

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Some Remarks on a Two-Parameter Quantum Algebra SUqs(2) and a Two-Parameter Deformed Harmonic Oscillator

Corresponding author: Zhou Huanqiang,

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Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator

Some Remarks on a Two-Parameter Quantum Algebra SU_qs(2) and a Two-Parameter Deformed Harmonic Oscillator